LCM of 146, 564, 803, 731, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 564, 803, 731, 981 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 146, 564, 803, 731, 981. So, keep reading to learn more.
Given numbers are 146,564,803,731,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,564,803,731,981 is 108257945004.
Find LCM of 146,564,803,731,981 with Prime Factorization
| 2 | 146, 564, 803, 731, 981 |
| 3 | 73, 282, 803, 731, 981 |
| 73 | 73, 94, 803, 731, 327 |
| 1, 94, 11, 731, 327 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 1 x 94 x 11 x 731 x 327 = 108257945004
Therefore, the lowest common multiple of 146,564,803,731,981 is 108257945004.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
146 x 564 x 803 x 731 x 981 = 47416979911752
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
146 : 1, 2, 73, 146
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
803 : 1, 11, 73, 803
731 : 1, 17, 43, 731
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,564,803,731,981, is 1.
Now, the common factors can be found like this.
146:2x 73
564:2x 2x 3x 47
803:11x 73
731:17x 43
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 73 = 438
Therefore, the value for common factors is 438.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 47416979911752/(1x438)
LCM = 47416979911752/438
LCM = 108257945004
Thus, we can understand that the LCM of 146,564,803,731,981 is 108257945004.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 564, 803, 731, 981
1. What is the LCM of 146, 564, 803, 731, 981?
Answer: LCM of 146, 564, 803, 731, 981 is 108257945004.
2. How to calculate the LCM of 146, 564, 803, 731, 981?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 146, 564, 803, 731, 981.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.